scholarly journals ASYMPTOTIC QUASINORMAL MODES OF A NONCOMMUTATIVE GEOMETRY INSPIRED SCHWARZSCHILD BLACK HOLE

2007 ◽  
Vol 22 (11) ◽  
pp. 2047-2056 ◽  
Author(s):  
PULAK RANJAN GIRI
Keyword(s):  
Black Hole ◽  
Noncommutative Geometry ◽  
Quasinormal Modes ◽  
Space Time ◽  
Hawking Temperature ◽  
Scalar Perturbation ◽  
Schwarzschild Black Hole ◽  
The Real ◽  
Quasinormal Frequency

We study the asymptotic quasinormal modes for the scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole in 3+1 dimensions. We have considered M ≥ M0, which effectively correspond to a single horizon Schwarzschild black hole with correction due to noncommutativity. We have shown that for this situation the real part of the asymptotic quasinormal frequency is proportional to ln (3). The effect of noncommutativity of space–time on quasinormal frequency arises through the constant of proportionality, which is Hawking temperature TH(θ). We also consider the two-horizons case and show that in this case also the real part of the asymptotic quasinormal frequency is proportional to ln (3).

BLACK HOLE AREA SPECTRUM AND ENTROPY SPECTRUM VIA QUASINORMAL MODES IN A QUANTUM CORRECTED SPACETIME

2011 ◽  
Vol 26 (39) ◽  
pp. 2963-2971 ◽  
Author(s):  
CHENG-ZHOU LIU
Keyword(s):  
Black Hole ◽  
Imaginary Part ◽  
Quasinormal Modes ◽  
Area Spectrum ◽  
Entropy Spectrum ◽  
Schwarzschild Black Hole ◽  
The Real ◽  
Hole Area ◽  
Test Particles ◽  
Proper Frequency

The area spectrum and entropy spectrum of the modified Schwarzschild black hole in gravity's rainbow are investigated via the quasinormal modes of the black hole. Using the modified Hod's method and Kunstatter's method that employ the proper frequency from the imaginary part other than the real part of the quasinormal modes, the area and entropy spacing of the black hole are calculated. The results obtained from these two methods agree with each other and the equally spaced area and entropy spectrum are derived. The obtained area and entropy spectrum are independent of the energies of test particles and are the same as from the usual Schwarzschild black hole.

QUASINORMAL FREQUENCIES OF THE RARITA–SCHWINGER FIELD IN REISSNER–NORDSTRÖM-ANTI-DE SITTER SPACE–TIME

2006 ◽  
Vol 15 (06) ◽  
pp. 905-915 ◽  
Author(s):  
YUN ZHANG ◽  
JILIANG JING
Keyword(s):  
Black Hole ◽  
Quasinormal Modes ◽  
De Sitter Space ◽  
Space Time ◽  
Linear Functions ◽  
De Sitter ◽  
The Real ◽  
Large Black Hole ◽  
Angular Quantum Number ◽  
High Overtone

We investigate the quasinormal modes (QNMs) of Rarita–Schwinger field perturbations of a Reissner–Nordström black hole in an asymptotically anti-de Sitter space–time. We find that both the real and imaginary parts of the fundamental quasinormal frequencies of the large black hole are the linear functions of the Hawking temperature. The slope of the lines increases as the charge increases, but the imaginary parts decrease as the charge increases. We show that the quasinormal frequencies become evenly spaced for high overtone number n and the spacings are related to the charge and mass of the black hole. We also find that the real parts of the QNMs increase and the imaginary parts decrease as the angular quantum number increases.

Quasinormal modes of scalar perturbation around a quantum-corrected Schwarzschild black hole

2014 ◽  
Vol 350 (2) ◽  
pp. 721-726 ◽  
Author(s):  
Mahamat Saleh ◽  
Bouetou Bouetou Thomas ◽  
Timoleon Crepin Kofane
Keyword(s):  
Black Hole ◽  
Quasinormal Modes ◽  
Scalar Perturbation ◽  
Schwarzschild Black Hole

Dirac quasi-normal frequencies in a noncommutative black hole space–time

2019 ◽  
Vol 97 (5) ◽  
pp. 562-565
Author(s):  
Cuibai Luo ◽  
Chen Wu
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Noncommutative Geometry ◽  
Imaginary Part ◽  
Normal Modes ◽  
Space Time ◽  
Numerical Results ◽  
Schwarzschild Black Hole ◽  
Oscillation Frequencies ◽  
Noncommutative Parameter

Noncommutative geometry may be an alternative way to quantum gravity. We study the influence of the space–time noncommutative parameter on the Dirac quasi-normal modes in the noncommutative Schwarzschild black hole space–times. In comparison to the commutative Schwarzschild black hole, the numerical results show that the oscillation frequencies and magnitude of the imaginary part of the Dirac quasi-normal modes will increase. However, it is found that the influence of the space–time noncommutative parameter on the Dirac quasi-normal modes is tiny and negligible.

scholarly journals Null geodesics and red–blue shifts of photons emitted from geodesic particles around a noncommutative black hole space–time

2018 ◽  
Vol 33 (16) ◽  
pp. 1850098 ◽  
Author(s):  
Ravi Shankar Kuniyal ◽  
Rashmi Uniyal ◽  
Anindya Biswas ◽  
Hemwati Nandan ◽  
K. D. Purohit
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Noncommutative Geometry ◽  
Equatorial Plane ◽  
Mass Parameter ◽  
Space Time ◽  
Geodesic Motion ◽  
Schwarzschild Black Hole ◽  
Gravitational Fields ◽  
Test Particles

We investigate the geodesic motion of massless test particles in the background of a noncommutative geometry-inspired Schwarzschild black hole. The behavior of effective potential is analyzed in the equatorial plane and the possible motions of massless particles (i.e. photons) for different values of impact parameter are discussed accordingly. We have also calculated the frequency shift of photons in this space–time. Further, the mass parameter of a noncommutative inspired Schwarzschild black hole is computed in terms of the measurable redshift of photons emitted by massive particles moving along circular geodesics in equatorial plane. The strength of gravitational fields of noncommutative geometry-inspired Schwarzschild black hole and usual Schwarzschild black hole in General Relativity is also compared.

scholarly journals BLACK HOLE EVAPORATION BASED UPON A q-DEFORMATION DESCRIPTION

2005 ◽  
Vol 20 (26) ◽  
pp. 6039-6049 ◽  
Author(s):  
XIN ZHANG
Keyword(s):  
Black Hole ◽  
Degrees Of Freedom ◽  
Radiation Spectrum ◽  
Correlation Effect ◽  
Space Time ◽  
Noncommutative Space ◽  
Schwarzschild Black Hole ◽  
Black Hole Evaporation ◽  
Starting Point ◽  
New Distribution

A toy model based upon the q-deformation description for studying the radiation spectrum of black hole is proposed. The starting point is to make an attempt to consider the space–time noncommutativity in the vicinity of black hole horizon. We use a trick that all the space–time noncommutative effects are ascribed to the modification of the behavior of the radiation field of black hole and a kind of q-deformed degrees of freedom are postulated to mimic the radiation particles that live on the noncommutative space–time, meanwhile the background metric is preserved as usual. We calculate the radiation spectrum of Schwarzschild black hole in this framework. The new distribution deviates from the standard thermal spectrum evidently. The result indicates that some correlation effect will be introduced to the system if the noncommutativity is taken into account. In addition, an infrared cutoff of the spectrum is the prediction of the model.

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